| Preface |
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xiii | |
| Acknowledgements |
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xxiii | |
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1 Fundamentals of Chirality |
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1 | (20) |
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1.1 Point and Space Groups |
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2 | (2) |
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1.2 Proper and Improper Symmetry |
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4 | (1) |
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1.3 Chirality in Finitude and Infinity |
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5 | (4) |
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1.3.1 Molecular Chirality |
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5 | (3) |
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1.3.2 Crystalline Chirality |
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8 | (1) |
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1.4 Routes to Surface Chirality |
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9 | (5) |
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1.4.1 Surfaces of Intrinsically Chiral Crystals |
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9 | (1) |
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1.4.2 Intrinsically Chiral Surfaces of Achiral Crystals |
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10 | (1) |
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1.4.3 Chiral Modification of Achiral Surfaces |
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11 | (3) |
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1.5 Diastereoisomerism Defined |
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14 | (1) |
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1.6 Quantifying Chirality? |
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15 | (2) |
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17 | (2) |
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1.8 Synthesis, Separation and Sensing |
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19 | (2) |
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20 | (1) |
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2 Surface Symmetry and Structure |
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21 | (44) |
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2.1 Spherical Representation of Symmetry |
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21 | (3) |
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2.2 Spherical Representation of Structure |
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24 | (3) |
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2.3 Stereographic Projections: Flattening the Globe |
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27 | (2) |
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2.4 Surfaces of the Face-Centred Cubic Structure |
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29 | (7) |
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2.4.1 Reconciliation of Symmetry and Primary Structure |
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29 | (3) |
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2.4.2 Secondary and Tertiary Structure |
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32 | (2) |
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34 | (2) |
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2.5 Surfaces of the Body-Centred Cubic Structure |
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36 | (6) |
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2.5.1 Reconciliation of Symmetry and Primary Structure |
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37 | (2) |
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2.5.2 Secondary and Tertiary Structure |
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39 | (1) |
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40 | (2) |
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2.6 Surfaces of the Hexagonal Close-Packed Structure |
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42 | (14) |
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43 | (5) |
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48 | (4) |
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2.6.3 Reconciliation of Symmetry and Primary Structure |
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52 | (3) |
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55 | (1) |
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2.7 Surfaces of the Diamond Structure |
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56 | (9) |
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56 | (2) |
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58 | (1) |
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2.7.3 Reconciliation of Symmetry and Primary Structure |
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59 | (3) |
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62 | (1) |
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63 | (2) |
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3 Surface Energy and Surface Stress |
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65 | (28) |
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3.1 Thermodynamic Definition of Surface Energy |
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65 | (5) |
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3.2 The Tensor Nature of Surface Stress |
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70 | (1) |
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3.3 Visualisations of Surface Stress: Iconic Conics |
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71 | (4) |
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3.3.1 The Normal Stress Conic |
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72 | (1) |
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3.3.2 The Shear Stress Quartic |
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73 | (1) |
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74 | (1) |
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3.4 Symmetry of the Surface Stress: Eccentricity and Orientation |
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75 | (6) |
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3.4.1 Stereography and Surface Stress |
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77 | (2) |
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3.4.2 Racemic Surface Stress |
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79 | (1) |
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3.4.3 Adsorbate-Induced Asymmetry in Surface Stress |
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80 | (1) |
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3.5 Measurement of Differential Surface Stress |
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81 | (5) |
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3.5.1 Island Shape Measurement |
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81 | (1) |
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3.5.2 Contact Angle Measurement |
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82 | (3) |
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3.5.3 Cantilever Deformation |
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85 | (1) |
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3.6 Facet Formation and the Wulff Construction |
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86 | (7) |
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3.6.1 Ridge-and-Furrow Facets |
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86 | (2) |
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3.6.2 Pyramid-and-Pit Facets |
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88 | (1) |
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3.6.3 Geometrical Construction |
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89 | (2) |
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91 | (2) |
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4 Asymmetric Adsorption on Achiral Substrates |
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93 | (72) |
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4.1 Achiral Adsorbates: Gliding Through Broken Mirrors |
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93 | (4) |
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4.2 Prochiral Adsorbates: Chirality in Context |
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97 | (15) |
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98 | (3) |
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4.2.2 Stilbene Derivatives on Cu{100} and Cu{110} |
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101 | (1) |
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4.2.3 Glycine on Cu{110} and Cu{311} |
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102 | (5) |
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4.2.4 Succinic and Fumaric Acids on Cu{110} |
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107 | (4) |
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4.2.5 Meso-Tartaric Acid on Cu{110} |
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111 | (1) |
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4.3 Chiral Adsorbates: Act Locally, Think Globally |
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112 | (37) |
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4.3.1 Alanine on Cu{110} and Cu{311} |
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112 | (8) |
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4.3.2 Proline on Cu{110} and Cu{311} |
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120 | (5) |
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4.3.3 Serine and Lysine on Cu{110} |
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125 | (3) |
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4.3.4 Cysteine on Cu{110} and Au{110} |
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128 | (7) |
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4.3.5 Tartaric Acid on Cu{110} |
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135 | (5) |
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4.3.6 Glutamic Acid on Ag{110} and Ag{100} |
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140 | (5) |
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4.3.7 2-Butanolon Au{111} |
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145 | (1) |
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4.3.8 Tartaric Acid on Ni{111} |
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146 | (1) |
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147 | (2) |
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4.4 Chiral Facetting: Remodelling the Surface |
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149 | (2) |
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4.4.1 Glycine, Alanine and Lysine on Cu{100} |
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150 | (1) |
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4.5 Chiral Metallorganic Frameworks: Into the Second Dimension |
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151 | (5) |
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4.5.1 Glutamic Acid on Ni/Au{111} |
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152 | (1) |
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4.5.2 Lysine on Ni/Au{111} |
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153 | (1) |
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4.5.3 Proline on Ni/Au{111} |
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154 | (2) |
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156 | (9) |
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159 | (6) |
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5 Asymmetric Adsorption on Chiral Substrates |
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165 | (32) |
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5.1 Achiral Adsorbates on Intrinsically Chiral Substrates: Fault-Lines and Facets |
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165 | (3) |
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165 | (2) |
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5.1.2 Cyclohexanone on Cu{643} |
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167 | (1) |
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168 | (1) |
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5.2 Prochiral Adsorbates on Intrinsically Chiral Substrates: Familiar and Strange |
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168 | (3) |
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169 | (2) |
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5.3 Chiral Adsorbates on Intrinsically Chiral Substrates: Diastereomeric Effects |
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171 | (13) |
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171 | (2) |
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173 | (1) |
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5.3.3 Cysteine on Cu{531} and Au{17 11 9} |
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174 | (2) |
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5.3.4 Tartaric Acid on Cu{531} |
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176 | (1) |
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5.3.5 Propylene Oxide and 3-Methylcyclohexanone on Cu{643} |
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176 | (4) |
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5.3.6 3-Methylcyclohexanone on Cu{531}, Cu{651} and Cu{13 9 1} |
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180 | (2) |
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5.3.7 Alanine, Serine, Lysine, Phenylalanine and Aspartic Acid on Cu{3 1 17} |
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182 | (2) |
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5.4 Chiral Adsorbates on Chirally Modified Substrates: Diastereomeric Effects II |
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184 | (7) |
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5.4.1 Propylene Oxide on 2-Butanol-Modified Pd{111} and Pt{111} |
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185 | (3) |
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5.4.2 Propylene Oxide on 2-Methylbutanoic Acid-Modified Pd{111} and Pt{111} |
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188 | (1) |
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5.4.3 Propylene Oxide on Amino Acid-Modified Pd{111} |
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189 | (1) |
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5.4.4 Glycidol on Tartaric Acid-Modified Pd{111} |
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190 | (1) |
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5.4.5 Propylene Oxide on Lysine-Modified Cu{100} |
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191 | (1) |
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191 | (2) |
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193 | (4) |
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197 | (28) |
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6.1 Kinetic Amplification: Surface Explosions |
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197 | (9) |
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6.1.1 Tartaric and Malic Acids on Cu{110} |
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200 | (2) |
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6.1.2 Tartaric Acid on Cu{643}, Cu{17 5 1}, Cu{531} and Cu{651} |
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202 | (4) |
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6.2 Thermodynamic Amplification: Sergeants, Soldiers and Majority Rule |
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206 | (19) |
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6.2.1 Tartaric, Succinic and Malic Acids on Cu{110} |
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206 | (4) |
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6.2.2 Heptahelicene on Cu{111}, Ag{111} and Au{111} |
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210 | (5) |
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6.2.3 Aspartic Acid on Cu{111} |
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215 | (2) |
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6.2.4 Supramolecular Assemblies on Highly Ordered Pyrolytic Graphite |
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217 | (5) |
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222 | (3) |
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7 Asymmetric Heterogeneous Catalysis |
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225 | (32) |
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7.1 Electro-Oxidation of Glucose on Pt{643} and Pt{321} |
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227 | (8) |
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7.2 Electron-Stimulated Oxidation of Methyl Lactate on Cu{643} |
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235 | (1) |
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7.3 Hydrogenation of α-Ketoesters over Platinum: The Orito Reaction |
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236 | (11) |
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7.3.1 Adsorption Geometry of Methyl and Ethyl Pyruvate |
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237 | (3) |
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7.3.2 Adsorption Geometry of Cinchonidine and its Cousins |
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240 | (4) |
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7.3.3 Binding and Reaction in the Chiral Complex |
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244 | (3) |
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7.4 Hydrogenation of β-Ketoesters over Nickel: The Izumi Reaction |
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247 | (10) |
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7.4.1 Adsorption Geometry of Methyl Acetoacetate |
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247 | (1) |
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7.4.2 Two-Dimensional Cocrystallisation: Tartaric/Glutamic Acid Modification |
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248 | (2) |
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7.4.3 Defect-Localised Oligomerisation: Modification by Aspartic Acid |
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250 | (3) |
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253 | (4) |
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8 Optical Consequences of Surface Chirality |
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257 | (22) |
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258 | (1) |
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8.2 Planar and Twisted Light |
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258 | (4) |
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8.2.1 Linear and Circular Polarisation |
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259 | (2) |
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8.2.2 Polarisation on a Helix |
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261 | (1) |
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8.3 Dichroic Photoemission |
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262 | (5) |
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8.4 Non-linear Optics in Chiral Systems |
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267 | (9) |
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8.4.1 Symmetry Constraints on Non-linear Optical Phenomena |
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267 | (5) |
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8.4.2 Implications for Chiral Surfaces |
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272 | (1) |
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8.4.3 Chiral SHG on Cu{111} and Au{110} |
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273 | (3) |
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276 | (3) |
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277 | (2) |
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9 Magnetic Consequences of Surface Chirality |
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279 | (36) |
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9.1 Spin and Orbital Magnetism |
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279 | (6) |
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9.1.1 Fermions and the Dirac Equation |
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280 | (3) |
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9.1.2 Spin-Orbit Coupling |
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283 | (2) |
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9.2 Bulk Magnetocrystalline Anisotropy |
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285 | (10) |
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9.2.1 Laue Class Oh (Cubic Crystal System: Oh, Td and O) |
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287 | (1) |
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9.2.2 Laue Class Th (Cubic Crystal system: Th and T) |
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287 | (1) |
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9.2.3 Laue Class D6h (Hexagonal Crystal System: D6h, D3h, C6v and D6) |
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287 | (1) |
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9.2.4 Laue Class C6h (Hexagonal Crystal System: C6h, C3h and C6) |
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288 | (1) |
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9.2.5 Laue Class D3d (Trigonal Crystal System: D3d, C3v and D3) |
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288 | (1) |
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9.2.6 Laue Class S6 (Trigonal Crystal System: S6 and C3) |
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289 | (1) |
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9.2.7 Laue Class D4h (Tetragonal Crystal System: D4h, D2d, C4v and D4) |
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289 | (1) |
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9.2.8 Laue Class C4h (Tetragonal Crystal System: C4h, S4, & C4) |
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290 | (1) |
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9.2.9 Laue Class D2h (Orthorhombic Crystal System: D2h, C2v, and D2) |
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290 | (2) |
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9.2.10 Laue Class C2h (Monoclinic Crystal System: C2h, C1h, and C2) |
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292 | (1) |
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9.2.11 Laue Class S2 (Triclinic Crystal System: S2 and C1) |
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293 | (1) |
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294 | (1) |
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9.3 Surface Magnetocrystalline Anisotropy |
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295 | (4) |
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9.3.1 Surface MCA of Face-Centred and Body-Centred Cubic Ferromagnets |
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296 | (2) |
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9.3.2 Role of Adsorbates and Reconstruction |
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298 | (1) |
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9.4 An Aside: Vectors and Pseudovectors |
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299 | (2) |
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9.5 Spin Waves in Centrosymmetric Media |
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301 | (3) |
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301 | (2) |
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303 | (1) |
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9.6 Spin Waves at a Featureless Surface |
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304 | (2) |
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304 | (1) |
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305 | (1) |
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9.7 Spin Waves at Structured Surfaces |
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306 | (1) |
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9.7.1 Spin Helices at Achiral Surfaces |
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306 | (1) |
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9.7.2 Spin Helices at Chiral Surfaces |
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307 | (1) |
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9.7.3 Spin Spirals at Achiral Surfaces |
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307 | (1) |
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9.7 A Spin Spirals at Chiral Surfaces |
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307 | (1) |
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9.8 Surface Spin Spirals Observed |
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308 | (1) |
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9.9 Skyrmions, or How to Brush a Hedgehog |
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309 | (6) |
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313 | (2) |
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10 Chiral Electronic States in Two Dimensions |
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315 | (16) |
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10.1 Dirac Cones in Graphene |
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316 | (5) |
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10.2 Dirac Cones at Half-Metal Surfaces |
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321 | (2) |
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10.3 Dirac Cones at the Surfaces of Topological Insulators |
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323 | (5) |
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10.4 Prospects for Electronic Chirality in the Chemical Context |
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328 | (3) |
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329 | (2) |
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331 | (4) |
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335 | (2) |
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B Rules for Overlayer Periodicity Assignment |
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337 | (8) |
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337 | (1) |
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338 | (1) |
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B.3 Illustrative Examples |
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339 | (6) |
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343 | (2) |
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345 | (2) |
| Index |
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347 | |